Geometry

Given : M is the mid point of XY

Prove : XY = 2* XM

M is the midpoint if XY - Given
XM ≈ MY - Definition of congruence
XM = MY - definition of congruence
XM + MY = XY - Segment addition postulate
XM + XM = XY - substitution postulate of equality
2 * XM = XY - Multiplication property of equality
XY = 2 * XM - simplify

Is this right?

  1. 👍 1
  2. 👎 1
  3. 👁 451
  1. looks good, as long as you are careful to distinguish between the line segment XM and its measure.

    1. 👍 0
    2. 👎 0
    👨‍🏫
    oobleck
  2. no

    1. 👍 0
    2. 👎 0

Respond to this Question

First Name

Your Response

Similar Questions

  1. Geometry

    Given: S is the midpoint of QR, QR ⊥PS and RSP and QSP are right angles Prove: PR is congruent to PQ I just need help starting it. Would I chop it up? For example S is the midpoint of QR / Given QS = SR / definition of mid point

  2. maths

    A line intersects the y axis and x axis at the point P and Q respectively.If (2,-5) is the mid point of PQ,then the coordinates of P and Q are respecively

  3. Extended mathematics

    In the diagram,LMN=ONM=90 degree.P is the mid point of MN,MN=2ML and MN=NO,Prove that (a)the triangles MNL and NOP are congruent

  4. geography

    What was the time of greatest population growth in the world? A. the late nineteenth century B. the mid-seventeenth century C. the early twenty-first century D. the mid-twentieth century i think its D

  1. math

    abc is an isosceles triangle in which ab=ac=5cm and bc=6cm.calculate am,where m is the mid point of bc show your workings?

  2. Geometry

    The graph below shows a bridge between two islands. If point m is the mid point of PQ, and PM=6 centimeters, what is the length of PQ? A. 3cm B.9cm C. 6cm D. 12cm I don't understand how to do this so please help.

  3. math

    Given: segment AC and segment BD bisect each other at E prove: E is the midpoint of segment RS i don't know if you will be able to visualize the picture but just incase someone is i really need help on the proof for this one.

  4. math

    abc is an isosceles triangle in which ab ac 5cm and bc 6cm.calculate am where m is the mid point of bc

  1. algebra

    the mid point of a segment joining (a,b) and (-3,4b) is (2,3a+4).find a & b.

  2. Mathematics

    A sine function has the following key features: Period = 4 Amplitude = 3 Midline: y=−1 y-intercept: (0, -1) The function is not a reflection of its parent function over the x-axis. Use the sine tool to graph the function. The

  3. Math

    A company's sales are seasonal with the peak in mid-December and the lowest point in mid-June. The company makes $110000 in sales in December, and only $30000 in June. A) Find a trigonometric function, s=f(t) , representing sales

  4. economics

    Calculate the mid-point elasticity of demand. The online bookseller wants to increase its total revenue by offering 10% discount on every book it sells.Its custmers are divided in 2 groups Group A and group B Volume of sales

You can view more similar questions or ask a new question.